12035126612224 has 81 divisors (see below), whose sum is σ = 24491048516389. Its totient is φ = 5902581201920.

The previous prime is 12035126612221. The next prime is 12035126612237. The reversal of 12035126612224 is 42221662153021.

The square root of 12035126612224 is 3469168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8676088070400 + 3359038541824 = 2945520^2 + 1832768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12035126612221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2941852419 + ... + 2941856509.

Almost surely, 2^{12035126612224} is an apocalyptic number.

12035126612224 is the 3469168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12035126612224

12035126612224 is an abundant number, since it is smaller than the sum of its proper divisors (12455921904165).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12035126612224 is an frugal number, since it uses more digits than its factorization.

12035126612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 12035126612224 its reverse (42221662153021), we get a palindrome (54256788765245).

The spelling of 12035126612224 in words is "twelve trillion, thirty-five billion, one hundred twenty-six million, six hundred twelve thousand, two hundred twenty-four".